78 (number)

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78 (seventy-eight) is the natural number following 77 and followed by 79.

Cardinal 78
seventy-eight
Ordinal 78th
seventy-eighth
Factorization 2 \cdot 3 \cdot 13
Divisors 1, 2, 3, 6, 13, 26, 39, 78
Roman numeral LXXVIII
Binary 1001110
Hexadecimal 4E

Contents

[edit] In mathematics

78 is a triangular number, and its factorization makes it a sphenic number. As a multiple of perfect number, 78 is itself a semiperfect number.

77 and 78 form a Ruth-Aaron pair under the second definition in which repeated prime factors are counted as often as they occur.

Since it is possible to find sequences of 78 consecutive integers such that each inner member member shares a factor with either the first or the last member, 78 is an Erdős–Woods number.

Karl A. Dahlke proved in 1989 that 78 heptominos of this shape ( Image:heptomino-78.png), at a minimum, are required to fill a rectangle.

[edit] In science

A temperature which is falsely assumed to be an accurate room temperature

[edit] In astronomy

Messier object M78, a magnitude 8.0 diffuse nebula in the constellation Orion
The New General Catalogue object NGC 78, a magnitude 12.8 barred spiral galaxy in the constellation Pisces
The Saros number of the solar eclipse series which began on -463 June 9 and ended on 817 July 18. The duration of Saros series 78 was 1280.1 years, and it contained 72 solar eclipses.
The Saros number of the lunar eclipse series which began on -125 April 10 and ended on 1155 May 18. The duration of Saros series 78 was 1280.1 years, and it contained 72 lunar eclipses.

[edit] In sports

[edit] In other fields

78 is also: